Mesnager, Sihem; Özbudak, Ferruh Boomerang uniformity of power permutations and algebraic curves over \(\mathbb{F}_{2^n}\). (English) Zbl 1523.11229 Adv. Geom. 23, No. 1, 107-134 (2023). MSC: 11T71 94A60 11G20 PDFBibTeX XMLCite \textit{S. Mesnager} and \textit{F. Özbudak}, Adv. Geom. 23, No. 1, 107--134 (2023; Zbl 1523.11229) Full Text: DOI
Güneri, Cem; Özbudak, Ferruh; Özdemir, Funda Hasse-Weil bound for additive cyclic codes. (English) Zbl 1402.94118 Des. Codes Cryptography 82, No. 1-2, 249-263 (2017). MSC: 94B27 94B65 11G20 PDFBibTeX XMLCite \textit{C. Güneri} et al., Des. Codes Cryptography 82, No. 1--2, 249--263 (2017; Zbl 1402.94118) Full Text: DOI
Özbudak, Ferruh; Saygı, Zülfükar Explicit maximal and minimal curves over finite fields of odd characteristics. (English) Zbl 1416.11099 Finite Fields Appl. 42, 81-92 (2016). MSC: 11G20 PDFBibTeX XMLCite \textit{F. Özbudak} and \textit{Z. Saygı}, Finite Fields Appl. 42, 81--92 (2016; Zbl 1416.11099) Full Text: DOI
Coşgun, Ayhan; Özbudak, Ferruh; Saygı, Zülfükar Further results on rational points of the curve \(y^{q^n}-y=\gamma x^{q^h+1}-\alpha \) over \(\mathbb F_{q^m}\). (English) Zbl 1392.11037 Des. Codes Cryptography 79, No. 3, 423-441 (2016). Reviewer: Sergey Stepanov (Moskva) MSC: 11G20 11T71 14G05 14G50 PDFBibTeX XMLCite \textit{A. Coşgun} et al., Des. Codes Cryptography 79, No. 3, 423--441 (2016; Zbl 1392.11037) Full Text: DOI
Özbudak, Ferruh; Temür, Burcu Gülmez; Yayla, Oğuz Further results on fibre products of Kummer covers and curves with many points over finite fields. (English) Zbl 1352.11057 Adv. Math. Commun. 10, No. 1, 151-162 (2016). MSC: 11G20 14G15 14H30 94A60 PDFBibTeX XMLCite \textit{F. Özbudak} et al., Adv. Math. Commun. 10, No. 1, 151--162 (2016; Zbl 1352.11057) Full Text: DOI
Özbudak, Ferruh; Saygı, Zülfükar \(L\)-polynomials of the curve \(y^{q^n}-y=\gamma x^{q^h+1} - \alpha \) over \(\mathbb F_{q^m}\). (English) Zbl 1400.11112 Koç, Çetin Kaya (ed.) et al., Arithmetic of finite fields. 5th international workshop, WAIFI 2014, Gebze, Turkey, September 27–28, 2014. Revised selected papers. Berlin: Springer (ISBN 978-3-319-16276-8/pbk). Lecture Notes in Computer Science 9061, 171-183 (2015). MSC: 11G20 11T71 PDFBibTeX XMLCite \textit{F. Özbudak} and \textit{Z. Saygı}, Lect. Notes Comput. Sci. 9061, 171--183 (2015; Zbl 1400.11112) Full Text: DOI
Özbudak, Ferruh; Saygı, Zülfükar Rational points of the curve \(y^{q^n}-y=\gamma x^{q^h+1}-\alpha\) over \(\mathbb F_{q^m}\). (English) Zbl 1365.11080 Larcher, Gerhard (ed.) et al., Applied algebra and number theory. Essays in honor of Harald Niederreiter on the occasion of his 70th birthday. Cambridge: Cambridge University Press (ISBN 978-1-107-07400-2/hbk; 978-1-139-69645-6/ebook). 297-306 (2014). MSC: 11G20 11T06 14G05 PDFBibTeX XMLCite \textit{F. Özbudak} and \textit{Z. Saygı}, in: Applied algebra and number theory. Essays in honor of Harald Niederreiter on the occasion of his 70th birthday. Cambridge: Cambridge University Press. 297--306 (2014; Zbl 1365.11080)
Özbudak, Ferruh; Pott, Alexander Uniqueness of \(\mathbb{F}_q\)-quadratic perfect nonlinear maps from \(\mathbb{F}_{q^3}\) to \(\mathbb{F}_q^2\). (English) Zbl 1298.11111 Finite Fields Appl. 29, 49-88 (2014). MSC: 11T06 12E20 11G20 12K10 PDFBibTeX XMLCite \textit{F. Özbudak} and \textit{A. Pott}, Finite Fields Appl. 29, 49--88 (2014; Zbl 1298.11111) Full Text: DOI
Özbudak, Ferruh; Saygı, Zülfükar On the number of quadratic forms having codimension 2 radicals in characteristic 2 giving maximal/minimal curves. (English) Zbl 1296.11080 Commun. Algebra 42, No. 9, 3795-3810 (2014). MSC: 11G20 11E08 94B27 PDFBibTeX XMLCite \textit{F. Özbudak} and \textit{Z. Saygı}, Commun. Algebra 42, No. 9, 3795--3810 (2014; Zbl 1296.11080) Full Text: DOI
Özbudak, Ferruh; Gülmez Temür, Burcu Finite number of fibre products of Kummer covers and curves with many points over finite fields. (English) Zbl 1326.11030 Des. Codes Cryptography 70, No. 3, 385-404 (2014). Reviewer: Gökhan Soydan (Bursa) MSC: 11G20 14G15 14H25 PDFBibTeX XMLCite \textit{F. Özbudak} and \textit{B. Gülmez Temür}, Des. Codes Cryptography 70, No. 3, 385--404 (2014; Zbl 1326.11030) Full Text: DOI
Özbudak, Ferruh; Gülmez Temür, Burcu; Yayla, Oğuz An exhaustive computer search for finding new curves with many points among fibre products of two Kummer covers over \(\mathbb F_{5}\) and \(\mathbb F_{7}\). (English) Zbl 1305.14013 Turk. J. Math. 37, No. 6, 908-913 (2013). MSC: 14G15 11G20 94A60 14Q05 PDFBibTeX XMLCite \textit{F. Özbudak} et al., Turk. J. Math. 37, No. 6, 908--913 (2013; Zbl 1305.14013) Full Text: Link
Özbudak, Ferruh; Saygı, Elif; Saygı, Zülfükar Quadratic forms of codimension 2 over finite fields containing \(\mathbb F_4\) and Artin-Schreier type curves. (English) Zbl 1280.11035 Finite Fields Appl. 18, No. 2, 396-433 (2012). Reviewer: Enric Nart Viñals (Barcelona) MSC: 11G20 11E04 94B27 PDFBibTeX XMLCite \textit{F. Özbudak} et al., Finite Fields Appl. 18, No. 2, 396--433 (2012; Zbl 1280.11035) Full Text: DOI
Özbudak, Ferruh; Saygı, Elif; Saygı, Zülfükar Quadratic forms of codimension 2 over certain finite fields of even characteristic. (English) Zbl 1235.11060 Cryptogr. Commun. 3, No. 4, 241-257 (2011). MSC: 11G20 14G05 14G50 PDFBibTeX XMLCite \textit{F. Özbudak} et al., Cryptogr. Commun. 3, No. 4, 241--257 (2011; Zbl 1235.11060) Full Text: DOI
Cenk, Murat; Özbudak, Ferruh Isomorphism classes of ordinary elliptic curves over fields of characteristic 3. (English) Zbl 1180.11021 Taş, K. (ed.) et al., Mathematical methods in engineering. Selected papers of the international symposium, MME06, Ankara, Turkey, April 27–29, 2006. Dordrecht: Springer (ISBN 978-1-4020-5677-2/hbk; 978-1-4020-5678-9/ebook). 151-158 (2007). Reviewer: Jordi Guárdia i Rúbies (Vilanova i la Geltrú) MSC: 11G20 PDFBibTeX XMLCite \textit{M. Cenk} and \textit{F. Özbudak}, in: Mathematical methods in engineering. Selected papers of the international symposium, MME06, Ankara, Turkey, April 27--29, 2006. Dordrecht: Springer. 151--158 (2007; Zbl 1180.11021) Full Text: DOI
Özbudak, Ferruh; Gülmez Temür, Burcu Fibre products of Kummer covers and curves with many points. (English) Zbl 1184.14035 Appl. Algebra Eng. Commun. Comput. 18, No. 5, 433-443 (2007). MSC: 14G05 11G20 14G15 14H25 PDFBibTeX XMLCite \textit{F. Özbudak} and \textit{B. Gülmez Temür}, Appl. Algebra Eng. Commun. Comput. 18, No. 5, 433--443 (2007; Zbl 1184.14035) Full Text: DOI
Garcia, Arnaldo; Özbudak, Ferruh Some maximal function fields and additive polynomials. (English) Zbl 1149.11030 Commun. Algebra 35, No. 5, 1553-1566 (2007). Reviewer: Christophe Ritzenthaler (Marseille) MSC: 11G20 11R58 14G05 14G50 PDFBibTeX XMLCite \textit{A. Garcia} and \textit{F. Özbudak}, Commun. Algebra 35, No. 5, 1553--1566 (2007; Zbl 1149.11030) Full Text: DOI
Çakçak, Emrah; Özbudak, Ferruh Some Artin-Schreier type function fields over finite fields with prescribed genus and number of rational places. (English) Zbl 1234.11077 J. Pure Appl. Algebra 210, No. 1, 113-135 (2007). MSC: 11G20 11R58 14G05 14G15 PDFBibTeX XMLCite \textit{E. Çakçak} and \textit{F. Özbudak}, J. Pure Appl. Algebra 210, No. 1, 113--135 (2007; Zbl 1234.11077) Full Text: DOI
Güneri, Cem; Özbudak, Ferruh Improvements on generalized Hamming weights of some trace codes. (English) Zbl 1172.94643 Des. Codes Cryptography 39, No. 2, 215-231 (2006). MSC: 94B27 11G20 11R58 11T71 94B65 PDFBibTeX XMLCite \textit{C. Güneri} and \textit{F. Özbudak}, Des. Codes Cryptography 39, No. 2, 215--231 (2006; Zbl 1172.94643) Full Text: DOI
Çakçak, Emrah; Özbudak, Ferruh Number of rational places of subfields of the function field of the Deligne-Lusztig curve of Ree type. (English) Zbl 1163.11345 Acta Arith. 120, No. 1, 79-106 (2005). MSC: 11R58 11G20 14G15 PDFBibTeX XMLCite \textit{E. Çakçak} and \textit{F. Özbudak}, Acta Arith. 120, No. 1, 79--106 (2005; Zbl 1163.11345) Full Text: DOI
Özbudak, Ferruh Elements of prescribed order, prescribed traces and systems of rational functions over finite fields. (English) Zbl 1061.11068 Des. Codes Cryptography 34, No. 1, 35-54 (2005). Reviewer: Bal Kishan Dass (Delhi) MSC: 11T30 11G20 05B15 11T71 94B15 PDFBibTeX XMLCite \textit{F. Özbudak}, Des. Codes Cryptography 34, No. 1, 35--54 (2005; Zbl 1061.11068) Full Text: DOI
Çakçak, Emrah; Özbudak, Ferruh Subfields of the function field of the Deligne-Lusztig curve of Ree type. (English) Zbl 1059.11070 Acta Arith. 115, No. 2, 133-180 (2004). Reviewer: Thomas Schmidt (Corvallis) MSC: 11R58 11G20 PDFBibTeX XMLCite \textit{E. Çakçak} and \textit{F. Özbudak}, Acta Arith. 115, No. 2, 133--180 (2004; Zbl 1059.11070) Full Text: DOI
Özbudak, Ferruh A note on divisor class groups of degree zero of algebraic function fields over finite fields. (English) Zbl 1026.11087 Finite Fields Appl. 9, No. 1, 129-133 (2003). Reviewer: Robert F.Lax (Baton Rouge) MSC: 11R58 14H05 11G20 13C20 PDFBibTeX XMLCite \textit{F. Özbudak}, Finite Fields Appl. 9, No. 1, 129--133 (2003; Zbl 1026.11087) Full Text: DOI
Özbudak, Ferruh On maximal curves and linearized permutation polynomials over finite fields. (English) Zbl 1013.11025 J. Pure Appl. Algebra 162, No. 1, 87-102 (2001). Reviewer: Robert F.Lax (Baton Rouge) MSC: 11G20 11R58 11T06 94B27 14H25 PDFBibTeX XMLCite \textit{F. Özbudak}, J. Pure Appl. Algebra 162, No. 1, 87--102 (2001; Zbl 1013.11025) Full Text: DOI
Özbudak, Ferruh; Stichtenoth, Henning Curves with many points and configurations of hyperplanes over finite fields. (English) Zbl 0953.11021 Finite Fields Appl. 5, No. 4, 436-449 (1999). Reviewer: Fernando Torres (Campinas) MSC: 11G20 14H25 52C35 14G15 PDFBibTeX XMLCite \textit{F. Özbudak} and \textit{H. Stichtenoth}, Finite Fields Appl. 5, No. 4, 436--449 (1999; Zbl 0953.11021) Full Text: DOI Link
Özbudak, F.; Glukhov, M. Codes on superelliptic curves. (English) Zbl 0915.94009 Turk. J. Math. 22, No. 2, 223-234 (1998). Reviewer: T.Helleseth (Bergen) MSC: 94B27 11T24 11G20 94B05 PDFBibTeX XMLCite \textit{F. Özbudak} and \textit{M. Glukhov}, Turk. J. Math. 22, No. 2, 223--234 (1998; Zbl 0915.94009)
Özbudak, Ferruh; Thomas, Michael A note on towers of function fields over finite fields. (English) Zbl 0923.11161 Commun. Algebra 26, No. 11, 3737-3741 (1998). Reviewer: C.Parry (Blacksburg) MSC: 11R58 11G20 PDFBibTeX XMLCite \textit{F. Özbudak} and \textit{M. Thomas}, Commun. Algebra 26, No. 11, 3737--3741 (1998; Zbl 0923.11161) Full Text: DOI Link
Stepanov, S. A.; Özbudak, F. Fibre products of hyperelliptic curves and geometric Goppa codes. (English. Russian original) Zbl 0982.94026 Discrete Math. Appl. 7, No. 3, 223-229 (1997); translation from Diskretn. Mat. 9, No. 3, 36-42 (1997). MSC: 94B27 11G20 PDFBibTeX XMLCite \textit{S. A. Stepanov} and \textit{F. Özbudak}, Discrete Math. Appl. 7, No. 3, 223--229 (1997; Zbl 0982.94026); translation from Diskretn. Mat. 9, No. 3, 36--42 (1997) Full Text: DOI Link